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Godlovesme
 one year ago
help pweaseee D:
Andy has two similar conical hats, Hat A and Hat B. The diameter of Hat A is 18 inches, and the diameter of Hat B is 9 inches. What is the ratio of the volume of Hat A to the volume of Hat B?
2:1
16:1
4:1
8:1
Godlovesme
 one year ago
help pweaseee D: Andy has two similar conical hats, Hat A and Hat B. The diameter of Hat A is 18 inches, and the diameter of Hat B is 9 inches. What is the ratio of the volume of Hat A to the volume of Hat B? 2:1 16:1 4:1 8:1

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nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Volume of a cone is \[\pi*r ^{2}*h/3\]

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4And diameter is just 2r, so for hat A r=9 in and hat B r=4.5 in

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Set up an equation that has volume on both sides like so: \[\pi*r _{A}^{2}*h/3=\pi*r _{B}^{2}*h/3\]

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4As you can see, the pi and h/3 will cancel out once you divide both sides by them. Then you are left with r^2 on each side for the respective cones.

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4And you can take it from there =P

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0so it would be.. \[9^2 = 4.5^2\] which will simplify to \[4:1\] ? :D

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Every ratio type problem can be handled this way

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0alright thank you so much :))

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0it wasnt 4:1 :( .. oh well thanks though :)

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Hmm is it not? Let me plug everything in myself

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0no idea @annas and @nuttyliaczar no worries its fine , unless u want to check it :3

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4I just checked and still got 4:1

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0i'll asj my teacher, thanks anyways :)

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Volume for A = pi*r^2*h/3 = 254.469*h/3 Volume for B = pi*r^2*h/3 = 63.617*h/3

nuttyliaczar
 one year ago
Best ResponseYou've already chosen the best response.4Dividing them gives 4/1 so... I'm not sure why that was wrong

Godlovesme
 one year ago
Best ResponseYou've already chosen the best response.0its ok i'll talk to my teacher :) thanks though i really appreciate ur help guys :)
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